The total distance traveled by the dog is 100 m and the displacement of the dog is 58.31 m.
The given parameters;
Initial position of the dog, 40 m westSecond position of the dog, 10 m eastFinal position of the dog, = 50 southThe displacement of the dog is the change in its initial position and the final position.
The resultant of the dogs position in x-direction: = 40 m - 10 m = 30 m
The resultant of the dogs position in y-direction: 50 m
The magnitude of the displacement;
R² = 30² + 50²
R² = 3400
R = √3400
R = 58.3 m
The distance covered by the dog is the sum of all the positions of the dog.
Distance = 40 m + 10 m + 50 m
Distance = 100 m.
Thus, the total distance traveled by the dog is 100 m and the displacement of the dog is 58.31 m.
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Explain using Newton's Third Law of Motion, how starting blocks have helped lower times in track events.
Compute for the total mechanical energy of a 3.5 kg baseball dropped from a height of 3 meters moving at a speed of 10 m/s. NEED ASAP GRADE 8 SCIENCE TY IN ADVANCE :))
Mechanical energy = Kinetic Energy + Potential Energy
Kinetic Energy :Kinetic energy = 1/2 * m * v² = 1/2 * 3.5 * (10)²
=> Kinetic energy = 175 J
Potential Energy :Potential energy = m * g * h = 3.5 * 10 * 3 = 105 J
Hence,
Mechanical energy = Kinetic Energy + Potential Energy
= 175 J + 105 J
= 280 J
Taking into account the potencial, kinetic and mechanical energy, the total mechanical energy is 278.005 J.
Potencial energyPotential energy refers to the position that a mass occupies in space and its magnitude is directly proportional to the height at which the object is, with respect to a reference position, to the mass of the object and to gravity:
Ep = m×g×h
Kinetic energyOn the other hand, kinetic energy manifests itself when bodies move and is associated with speed. The kinetic energy of a body depends on its mass and the square of its speed:
Ec = [tex]\frac{1}{2}[/tex]×m×v²
Mechanical energyThe mechanical energy of a body is the capacity it has to carry out mechanical work, that is, to produce a movement due to causes of mechanical origin, such as its position or its speed.
The mechanical energy of a body is the sum of its kinetic energy and its potential energy:
Em = Ep + Ec
Where
Em is the mechanical energy (J).Ep the potential energy (J). Ec the kinetic energy (J).Then:
Em= m×g×h + [tex]\frac{1}{2}[/tex]×m×v²
Principle of conservation of mechanical energyThe Principle of conservation of mechanical energy indicates that, in the absence of friction and without the intervention of any external work, the sum of the kinetic and potential energies remains constant, that is, the mechanical energy of a body remains constant throughout the movement. if no friction force acts.
This caseIn this case, you know that:
m= 3.5 kgg= 9.81 [tex]\frac{m}{s^{2} }[/tex]h= 3 mv= 10 [tex]\frac{m}{s}[/tex]Complying with the Principle of Conservation of Mechanical Energy and replacing in the expression of mechanical energy:
Em= 3.5 kg×9.81 [tex]\frac{m}{s^{2} }[/tex]×3 m + [tex]\frac{1}{2}[/tex]×3.5 kg×(10 [tex]\frac{m}{s}[/tex])²
Solving:
Em=103.005 J + 175 J
Em= 278.005 J
Finally, the total mechanical energy is 278.005 J.
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Define rest
Define motion
Answer:
motion: motion is the phenomenon in which an object changes its position over time. four common types of motion are rotary, oscillating, linear, and reciprocating.
rest is the polar opposite
Explanation:
HELPPPPPPPPP PLEASEEEEEE On this graph, which material has the lowest density? Density comparison Question 4 options: red yellow green blue
Yellow has the lowest density. I took the test and got this question correct. :)
The object represented by the yellow graph has the lowest density.
What is density?
It is defined as the mass per unit volume of the body. Mathematically -
ρ = M/V
Given is a graph showing the variation of the mass with volume.
All of the given graphs are straight lines. The slope of the line determines the proportionality constant or density of the four objects whose graphs are plotted. The graph with the maximum slope will have the highest density and with the minimum slope has lowest density. It can be seen that the yellow graph has the smallest slope (slope is the angle any straight line makes with x - axis). So it will have the lowest density.
Therefore, the object represented by the yellow graph has the lowest density.
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The most massive automobile to have been manufactured on a regular basis
was the Russian-made Zil-41047. If one of these cars was to move at just
8.9 m/s, its momentum would be 2.67 x 10^4kg • m/s. Use this information
to calculate the mass of a Zil-41047.
Use the formula for momentum: Momentum = (mass) x (speed)
2.67 x 10⁴ kg-m/s = (mass) x (8.9 m/s)
Mass = (2.67 x 10⁴ kg-m/s) / (8.9 m/s)
Mass = 3,000 kilograms
That's 3 metric tons. On Earth, it weighs 6,614 pounds, or 3.3 US tons.
It probably performs a lot like my car.
d. When Alan's puck is moving at 21 m/s south, it collides
with an ice skate of mass 2 kg sitting on the rink. Alan's
puck bounces backward at a speed of 4 m/s. What is the
momentum of the puck-skate system before the collision?
Examine the Pythagorean theorem below. In this form you can find the length of the hypotenuse c) of a right triangle if you know the lengths of the two short sides (a &). Solve this equation for the short side b. If you need to indicate a square root in your answer, type it like this: root * (e + f) to mean the square root of the sum (e + f) . For example, the equation below can be typed as c = root (a^ ^ 2+b^ ^ 2)
Answer:
what is the number
Explanation:
Zoom in to get a clear picture
Answer:
D. Place mirrors at both A and E
Explanation:
The energy required to change liquid at it boiling point to a gas is
Answer:
latent heat, also called the heat of vaporization, is the amount of energy necessary to change a liquid to a vapour at constant temperature and pressure. The energy required to melt a solid to a liquid is called the heat of fusion, and the heat of sublimation is the energy
Explanation:
A particle (charge = 40 μC) moves directly toward a second particle (charge = 80 μC) which is held in a fixed position. At an instant when the distance between the two particles is 2.0 m, the kinetic energy of the moving particle is 16 J. Determine the distance separating the two particles when the moving particle is momentarily stopped.
Answer:
The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m
Explanation:
Given that,
First charge = 40 μC
Second charge = 80 μC
Distance between the two particles = 2.0 m
Kinetic energy = 16 J
We need to calculate the distance separating the two particles when the moving particle is momentarily stopped
Using conservation of energy
[tex]K.E+\dfrac{kq_{1}q_{2}}{d}=\dfrac{kq_{1}q_{2}}{x}+K.E[/tex]
Put the value into the formula
[tex]16+\dfrac{9\times10^{9}\times40\times10^{-6}\times80\times10^{-6}}{2}=\dfrac{9\times10^{9}\times40\times10^{-6}\times80\times10^{-6}}{x}+0[/tex]
[tex]16+14.4=\dfrac{28.8}{x}[/tex]
[tex]30.4x=28.8[/tex]
[tex]x=\dfrac{28.8}{30.4}[/tex]
[tex]x=0.947\ m[/tex]
Hence, The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m
The distance separating the two particles when the moving particle is momentarily stopped is 0.947 m.
The given parameters;
charge of the first particle, q₁ = 40 μCcharge of the second particle, q₂ = 80 μCinitial distance between the particles, x₁ = 2 minitial kinetic energy, K.E₁ = 16 JThe kinetic energy is zero at the instant the moving particle is momentarily stopped.
The distance separating the two particles when the moving particle is momentarily stopped is calculated as follows;
[tex]K.E_1 \ + W_1 = K.E_2 + W_2\\\\K.E_1 + \frac{kq_1q_2}{x_1} = K.E_2 + \frac{kq_1q_2}{x_2} \\\\16 \ + \ \frac{(9\times 10^9)\times (40\times 10^{-6})\times (80\times 10^{-6})}{2} = 0 \ + \ \frac{(9\times 10^9)\times (40\times 10^{-6})\times (80\times 10^{-6})}{x_2} \\\\30.4= \frac{28.8}{x_2} \\\\x_2 = \frac{28.8}{30.4} \\\\x_2 = 0.947 \ m[/tex]
Thus, the distance separating the two particles when the moving particle is momentarily stopped is 0.947 m.
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the current through a wire is 0.5 a when the potential difference across is 4.0.v. calculate the resistance of the wire
v = ir
where v is voltage and i is current
r = v/i
r = 4/0.5
r = 8 ohms
The current through a wire is 0.5 a when the potential difference across is 4.0.v, the resistance of the wire is 8.0 ohms.
Ohm's law, which states that the resistance (R) of a wire is equal to the ratio of the potential difference (V) across the wire to the current (I) flowing through it, can be used to calculate the resistance of a wire.
It has the following mathematical expression:
R = V ÷ I
Here, it is given that:
Potential difference (V) = 4.0 V
Current (I) = 0.5 A
Now we can substitute the values into the formula:
R = 4.0 V ÷ 0.5 A
Calculating the division:
R = 8.0 ohms
Therefore, the resistance of the wire is 8.0 ohms.
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An ocean scientist plans to spend several days underwater in a submarine. Doctors on land will monitor her body to make sure she is healthy during her trip. What is one way doctors will be able to tell whether her body is healthy enough to do all her tasks while she is in the submarine?
Answer:
The doctors could see if her cells are getting the molecules they need from food and air
Explanation:
The doctors could see if her cells are getting the molecules they need from food and air. Doing so allows the doctors a general overview of how well her body's biological systems are performing since the basic necessities of the human system are food and oxygen. Therefore if the body is receiving both food and oxygen properly and distributing it properly and efficiently as well without any problems then the most likely outcome is that she is healthy enough to perform her tasks in the submarine under more pressure.
Answer:
The doctors could see if her cells are getting the molecules they need from food and air
Explanation:
Some girls use a curling iron to fix their hair. It is very hot when plugged in for a while. If you want protect your skin, you would need to pick it up on the plastic end. Which property of the plastic is portant for it to be used on a curling iron? a. Soluble in water b. Insulates thermal energy C. Conducts electrical energy d. Emits magnetic energy
Answer:
B. Insulates thermal energy
Answer:
b
Explanation:
if you insulate thermal energy aka heat you are keep the heat in one place in this case the metal, which provent you from burning your self if you hold the plastic part.
i know you might be like wha? she here is my question. what make a atom? then what makes up that? and on and on. is there a universe of everything?! is science just a part of what is really out there?! are we just a tiny little thing in the whole universe?! well that is it.
Answer:
Yes
Explanation:
An atom is made up of itself. Yes this is crazy but true. So far we have found the universe is everlasting, and the universe is part of itself meaning there nothing outside, except heaven and hell
A car accelerates (at a constant rate) from rest to 24-m/s in 19.6-seconds. How far will it travel during that
time?
Answer:
235.2 m
Explanation:
Given:
v₀ = 0 m/s
v = 24 m/s
t = 19.6 s
Find: Δx
Δx = ½ (v + v₀) t
Δx = ½ (24 m/s + 0 m/s) (19.6 s)
Δx = 235.2 m
Initial speed = zero
Final speed = 24 m/s
Time interval = 19.6 s
We have to find distance traveled by during the given interval of time[tex].[/tex]
★ Acceleration of car :
➠ a = (v - u)/∆t
➠ a = (24 - 0)/19.6
➠ a = 1.22 m/s²
★ Distance traveled by car :
➤ v² - u² = 2as
➤ 24² - 0² = 2(1.22)s
➤ 576 = 2.44s
➤ s = 576/2.44
➤ s = 236 m
Hope It Helps!Use the table below to answer the questions.
Measured Values for a Stamp's Length
Student 1 Student 2 Student 3
Trial 1 2.60 cm 2.70 cm 2.75 cm
Trial 2 2.72 cm 2.69 cm 2.74 cm
Trial 3 2.65 cm 2.71 cm 2.64 cm
Average 2.66 cm 2.70 cm 2.71 cm
Three students measured the length of a stamp whose accepted length is 2.71 cm. Based on the table, which statement is true?
Multiple choice question.
A)
Student 3 is both precise and accurate.
B)
Student 2 is both precise and accurate.
C)
Student 1 is more accurate than Student 3.
D)
Student 2 is less precise than Student 1.
Three students measured the length of a stamp whose accepted length is 2.71 cm, on the basis of the table student 2 is both precise and accurate, therefore the correct answer is option B.
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.
The degree to which a measurement is accurate in relation to its true value. The degree to which the same results are produced by repeated measurements under the same circumstances is known as precision.
Thus, according to the chart, student 2 is both exact and accurate, hence the proper response is option B. Three students measured the length of a stamp, and the approved length is 2.71 cm.
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what is a solution a special type of mixture
Answer:
In chemistry, a solution is a special type of homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent.
Explanation:
Sorry if it's wrong!!!!!!
Answer:
VVV
Explanation:
A solution is a special type of homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent.
The density of balsa wood is 0.170 g/cm3. What is the mass if the volume is 12.0 mL?
Answer:
The answer is 2.04 gExplanation:
The mass of a substance when given the density and volume can be found by using the formula
mass = Density × volumeFrom the question
density = 0.17 g/cm³
1 mL = 1 cm³
12 mL = 12 cm³
So we have
mass = 0.17 × 12
We have the final answer as
2.04 gHope this helps you
The track team participated in the 400-meter walk/run for fitness. The first to cross the finish line had a time of 4 minutes and 45 seconds. What was the average speed of the winner in meters per second?
Explanation:
total distance travelled = 400m
total time taken = 4min 45sec = 4*60 + 45 = 285sec
Avg speed = 400/285
= 2.162162....m/s
= 2.162....m/s
Hope it helped u,
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and pls mark this as the brainliest
A toy car with mass of 3.0kg is push along the table .If the net force on the book is 15.0N what is the toy car's accelaration?
Answer:
a = 5
Explanation:
F = M × A
15 = 3 × a
a = 15 / 3
a = 5
This is only if the toy can is pushing the book or smth coz the question looks incomplete...?
Answer:
5 m/s^2
Explanation:
Realize that Newton's Second Law explains that the net force is equal to the mass mulitplied by the acceleration, or in simple terms, F=ma. In the problem, the force is 15 newtons, and the mass is 3 kg. Substiting and dividing, we get 5 m/s^2 (5 meters per second squared).
A person running has a momentum of 720 kg m/s and is traveling at a velocity of 5 m/s. What is his mass?
144 kg
144 kg
360 kg
360 kg
3,600 kg
3,600 kg
30 kg
Explanation:
Momentum is mass times velocity.
p = mv
720 kg m/s = m (5 m/s)
m = 144 kg
A package is dropped from a helicopter that is moving upward at 20.0 m/s.
If it takes 18.0s before the package strikes the ground, how high above the ground was the package when it was released?
Explanation:
We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.Velocity at landing v = 20 - 9.8·18 = - 156.4 m/swhich statement best explains the genetic variation that results from sexual reproduction
a. each chromosome contains many copies of the same gene
b. offspring receive genes that are exactly the same as one parent’s genes
c. each chromosome contains many different genes
s. offspring receive a mix of genes from two different parents
Answer:
S. offspring recieve a mix of genes from two different parents
Offspring acquire genes that are exactly the same as one parent’s genes. Option B is correct.
Given that,
To choose the statement best explains the genetic variation that results from sexual reproduction.
Sexual reproduction is the process of creating new organisms by combining the genetic details of two individuals of different genders. The genetic details in most animals is carried on chromosomes in the nucleus of reproductive cells called gametes, which unite to form a diploid zygote.
Here,
The solution is due to the fact that each parent has two distinct sets of genes. Furthermore, each parent only passes on half of their DNA to their offspring. And that the half that is passed on is arbitrary. All of this ensures that each child is born with a distinct set of genes.
Thus, Offspring acquire genes that are exactly the same as one parent’s genes. Option B is correct.
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You have $20 and your boss gives you $10
each second for 3s. How much money do
you have after 3s?
Answer:
$50
Explanation:
:) =)
When light waves hit ice, most of them bounce off and radiate back into space. Because of this, ice is best described as which kind of surface?
A.) reflective
B.) absorbent
C.) dense
D.) rough
During exercise, the amount of ____________ carried in the blood to the muscles increases. (3 points)
oxygen
carbon dioxide
energy
calories
Answer:
oxygen
Explanation:
ok buddy
A tourist drops a rock from rest from a guardrail at an observatory point overlooking a valley. Calculate the velocity of the rock at the following times: a) 2.0 s b) 6.0 s 6. Determine the displacement for the rock in question 6 at
Answer:
a) 19.6 m/s, 19.6 m
b) 58.8 m/s, 176.4 m
Explanation:
Take down to be positive. Given:
v₀ = 0 m/s
a = 9.8 m/s²
a) Find v and Δy when t = 2.0 s.
v = at + v₀
v = (9.8 m/s²) (2.0 s) + 0 m/s
v = 19.6 m/s
Δy = v₀ t + ½ at²
Δy = (0 m/s) (2.0 s) + ½ (9.8 m/s²) (2.0 s)²
Δy = 19.6 m
b) Find v and Δy when t = 6.0 s.
v = at + v₀
v = (9.8 m/s²) (6.0 s) + 0 m/s
v = 58.8 m/s
Δy = v₀ t + ½ at²
Δy = (0 m/s) (6.0 s) + ½ (9.8 m/s²) (6.0 s)²
Δy = 176.4 m
You are camping, and you are inflating your air mattress. What best describes what you are doing to the gas pressure inside of the mattress?
filling it up
Explanation:
WHICH TYPES OF ENERGY ARE HAPPENING
Answer:
mecanichal energy
Explanation:
................
Determine the launch speed of a horizontally launched projectile that lands 26.3 meters from the base of a 19.3-meter high cliff and takes 5 seconds to land.
Answer:
The launch speed is approximately 13.28 m/s
Explanation:
The given parameters are;
The distance from the base of the cliff the projectile lands = 26.3 meters
The height of the cliff, s = 19.3 meters
The time it takes the projectile to land = 5 seconds
The direction of the projectile = Horizontal
The vertical motion of the projectile is given as follows;
19.3 = 1/2 × g × t² = 1/2 × 9.81 × t²
t = √(2 × 19.3/9.81) ≈ 1.98 seconds
Therefore, the time it takes to land ≈ 1.98 seconds
The launch (horizontal) speed = (The horizontal distance)/(Horizontal time)
The launch (horizontal) speed = 26.3/1.98 ≈ 13.28 m/s.
The launch speed of a horizontally launched projectile is equal to 13.22 m/s.
Given the following data:
Time = 5 seconds.Height = 19.3 metersHorizontal distance = 26.3 meters.To determine the launch speed of a horizontally launched projectile:
First of all, we would calculate the time it took the projectile to land at the base of the cliff by using the maximum height formula:
[tex]H = \frac{1}{2} gt^2[/tex]
Making t the subject of formula, we have:
[tex]t=\sqrt{\frac{2H}{g} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]t=\sqrt{\frac{2\times 19.3}{9.8} }\\\\t=\sqrt{\frac{38.6}{9.8} }\\\\t=\sqrt{3.94}[/tex]
Time, t = 1.99 seconds
Next, we would determine the launch speed by using the formula:
[tex]Horizontal\;speed = \frac{horizontal\;distance}{time} \\\\Horizontal\;speed = \frac{26.3}{1.99}[/tex]
Horizontal speed = 13.22 m/s
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